PROMPT='''
Q:If $$p$$ and $$p+107$$ are both prime numbers, find the value of $$p$$. 

P:
To find the value of p, we need to identify two prime numbers such that one is 107 greater than the other. Let's break down the steps:
1.Start by assuming that p is a prime number.
2.Check if p + 107 is also a prime number.
3.If both p and p + 107 are prime numbers, we have found the solution.
We can start by manually checking values of p starting from 2 (the smallest prime number) and checking if p + 107 is also prime:
    p = 2: 2 + 107 = 109 (Both are prime numbers, so the solution is p = 2)
    p = 3: 3 + 107 = 110 (One of them is not prime, so p = 3 is not a solution)
    p = 5: 5 + 107 = 112 (One of them is not prime, so p = 5 is not a solution)
    p = 7: 7 + 107 = 114 (One of them is not prime, so p = 7 is not a solution)
    p = 11: 11 + 107 = 118 (One of them is not prime, so p = 11 is not a solution)
Continuing this process for a few more values, we find that p = 2 is the only solution. So, the value of p is 2.

A: 2
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